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Chin. Phys., 2004, Vol. 13(3): 317-328    DOI: 10.1088/1009-1963/13/3/010
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Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems

Yu Si-Mina, Qiu Shui-Shengb, Peng Shi-Guoc, Lin Qing-Huad, Ma Zai-Guang5
a College of Automation, Guangdong University of Technology, Guangzhou 510090, China; b College of Electronic & Information Engineering, South China University of Technology, Guangzhou 510640, China; c Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China; d Department of Applied Physics, Guangdong University of Technology, Guangzhou 510090, China; (5)Department of Applied Physics, South China University of Technology, Guangzhou 510640, China
Abstract  Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors. This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment. Furthermore, we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations.
Keywords:  N-scroll chaotic attractors      N-scroll system synchronization      fourth-order systems      N-scroll hyperchaotic attractors  
Received:  06 June 2003      Revised:  21 August 2003      Published:  06 July 2005
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the Natural Science Foundation of Guangdong Province (Grant No 032469), and the National Natural Science Foundation of China (Grant No 69672022), and the Doctoral Foundation of the State Education Ministry of China (Grant No 00056107)

Cite this article: 

Yu Si-Min, Qiu Shui-Sheng, Peng Shi-Guo, Lin Qing-Hua, Ma Zai-Guang Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems 2004 Chin. Phys. 13 317

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